13 citations · 31 across the 23 of their papers we have counts for
6 papers · 1 filter
Interpolation and approximation via Momentum ResNets and Neural ODEs
Domènec Ruiz-Balet, Elisa Affili, Enrique Zuazua
In this article, we explore the effects of memory terms in continuous-layer Deep Residual Networks by studying Neural ODEs (NODEs). We investigate two types of models. On one side,…
Multilevel control by duality
Umberto Biccari, Enrique Zuazua
We discuss the multilevel control problem for linear dynamical systems, consisting in designing a piece-wise constant control function taking values in a finite-dimensional set. In…
Slow decay and turnpike for infinite-horizon hyperbolic LQ problems
Zhong-Jie Han, Enrique Zuazua
This paper is devoted to analysing the explicit slow decay rate and turnpike in the infinite-horizon linear quadratic optimal control problems for hyperbolic systems. Assume that s…
Optimal actuator design via Brunovsky's normal form
Borjan Geshkovski, Enrique Zuazua
In this paper, by using the Brunovsky normal form, we provide a reformulation of the problem consisting in finding the actuator design which minimizes the controllability cost for…
Control and numerical approximation of fractional diffusion equations
Umberto Biccari, Mahamadi Warma, Enrique Zuazua
The aim of this work is to give a broad panorama of the control properties of fractional diffusive models from a numerical analysis and simulation perspective. We do this by survey…
Neural ODE control for classification, approximation and transport
Domènec Ruiz-Balet, Enrique Zuazua
We analyze Neural Ordinary Differential Equations (NODEs) from a control theoretical perspective to address some of the main properties and paradigms of Deep Learning (DL), in part…